Conservation laws and main boundary problems of plasticity

S.I. Senashov, A.N. Iakhno

Abstract: An application of the conservation laws of 2-dimensional plasticity equations for finding the analytical solutions of the main boundary problems is the main idea of this article.

Until recently we have no method for exact solving of boundary problems of
2-dimensional plasticity. In this paper we describe the method of analytical
solving of main boundary problems of plasticity. The fundamental part of
these procedures are conservation laws. They make it possible to linearize
the problems without using nonsingular transformations and to obtain an
explicit form of exact solutions for fundamental problems of plasticity.